A man invested P110,000 for 31 days. The net interest after deducting 20% withholding tax is P890.36. Find the rate of return annually. A. 11.50 % B. 11.75 % C. 11.95 % D. 12.32 %

11.50%
11.75%
11.95%
12.32%

The correct answer is A. 11.50 %.

The formula for calculating the annual rate of return is:

$Annual\ rate\ of\ return = \dfrac{Net\ interest}{Principal\ amount}\times\dfrac{100}{Number\ of\ days\ in\ a\ year}\times\dfrac{1}{1-\text{Withholding\ tax}}$

In this case, the net interest is P890.36, the principal amount is P110,000, the number of days in a year is 365, and the withholding tax is 20%. Substituting these values into the formula, we get:

$Annual\ rate\ of\ return = \dfrac{890.36}{110000}\times\dfrac{100}{365}\times\dfrac{1}{1-0.20} = 11.50\%$

Therefore, the annual rate of return is 11.50%.

Option B is incorrect because it is the annual rate of return after deducting the withholding tax. Option C is incorrect because it is the annual rate of return before deducting the withholding tax. Option D is incorrect because it is the annual rate of return after deducting the withholding tax and rounding the result to two decimal places.

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